How many thousands make a lakh?

Question

Vedantu Content Team · Accepted Answer

Hint:Here, we need to find the number of thousands that make a lakh. We will assume the number of thousands that make a lakh to be $$x$$. Using the given information, we will form a linear equation in one variable in terms of $$x$$. Then, we will simplify the equation to get the value of $$x$$, and hence, the number of thousands that make a lakh.Complete step by step solution:Let the number of thousands that make a lakh be $$x$$.We will use the given information to form a linear equation in one variable in terms of $$x$$.We know that the 1 lakh is the product of 1 thousand, and the number of thousands that make 1 lakh.Therefore, we get1 lakh $$ = $$ 1 thousand $$ \times $$ Number of thousands in 1 lakhSubstituting the number of thousands in 1 lakh as $$x$$, we get$$ \Rightarrow $$1 lakh $$ = $$ 1 thousand $$ \times $$$$x$$$$ \Rightarrow 100000 = 1000 \times x$$Multiplying the terms of the expression and rewriting, we get$$ \Rightarrow 1000x = 100000$$Dividing both sides by 1000, we get$$\begin{array}{l} \Rightarrow \dfrac{{1000x}}{{1000}} = \dfrac{{100000}}{{1000}}\\ \Rightarrow \dfrac{{1000}}{{1000}}x = \dfrac{{1000 \times 100}}{{1000}}\\ \Rightarrow \dfrac{{1000}}{{1000}}x = \dfrac{{1000}}{{1000}} \times 100\end{array}$$Therefore, we get$$\begin{array}{l} \Rightarrow 1x = 1 \times 100\\ \Rightarrow x = 100\end{array}$$$$\therefore $$ The number of thousands that make a lakh is 100.Note:We used the term linear equation in one variable in the solution. A linear equation is an equation of the form $$ax + b = 0$$, where $$a$$ is not equal to 0, and $$a$$ and $$b$$ are real numbers. For example, $$x - 100 = 0$$ and $$100x - 566 = 0$$ are linear equations in one variable $$x$$.We can also use multiplication by 10 and 100 to find the number of thousands in a lakh.We know that when a number is multiplied by 10, the result is the same number, with 0 at the unit’s place. For example, the product of 35 and 10 is 350.Therefore, we getOne thousand $$ = $$ 1000Ten thousands $$ = $$ 10 $$ \times $$ 1000 $$ = $$10000Multiplying ten thousands by 10, we get10 $$ \times $$ Ten thousands $$ = $$ 10 $$ \times $$ 10000 $$ = $$100000Therefore, we getHundred thousands $$ = $$ 100000 $$ = $$ 1 lakhThus, we get that 100 thousands make a lakh.